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Finding the Third Proportional to 8,029,232,500 and 17,392,674,969

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Solution

The third proportional to 8,029,232,500 and 17,392,674,969 is: 37,675,474,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029,232,500 : 17,392,674,969 = 17,392,674,969 : x
  2. Step 2: Convert to fraction form
    8,029,232,500/17,392,674,969 = 17,392,674,969/x
  3. Step 3: Cross multiply
    8,029,232,500x = 17,392,674,969 × 17,392,674,969
  4. Step 4: Simplify right side
    8,029,232,500x = 302,505,142,577,279,139,840
  5. Step 5: Solve for x
    x = 302,505,142,577,279,139,840/8,029,232,500
  6. Step 6: Final answer
    x = 37,675,474,284.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.